12.82/4.41	YES
12.82/4.42	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
12.82/4.42	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
12.82/4.42	
12.82/4.42	
12.82/4.42	Termination of the given C Problem could be proven:
12.82/4.42	
12.82/4.42	(0) C Problem
12.82/4.42	(1) CToLLVMProof [EQUIVALENT, 169 ms]
12.82/4.42	(2) LLVM problem
12.82/4.42	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1838 ms]
12.82/4.42	(4) LLVM Symbolic Execution Graph
12.82/4.42	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
12.82/4.42	(6) LLVM Symbolic Execution SCC
12.82/4.42	(7) SCC2IRS [SOUND, 82 ms]
12.82/4.42	(8) IntTRS
12.82/4.42	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
12.82/4.42	(10) IntTRS
12.82/4.42	(11) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
12.82/4.42	(12) YES
12.82/4.42	
12.82/4.42	
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(0)
12.82/4.42	Obligation:
12.82/4.42	c file /export/starexec/sandbox/benchmark/theBenchmark.c
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(1) CToLLVMProof (EQUIVALENT)
12.82/4.42	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(2)
12.82/4.42	Obligation:
12.82/4.42	LLVM Problem
12.82/4.42	
12.82/4.42	Aliases:
12.82/4.42	
12.82/4.42	Data layout:
12.82/4.42	
12.82/4.42	"e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128-n8:16:32:64-S128"
12.82/4.42	
12.82/4.42	Machine:
12.82/4.42	
12.82/4.42	"x86_64-pc-linux-gnu"
12.82/4.42	
12.82/4.42	Type definitions:
12.82/4.42	
12.82/4.42	Global variables:
12.82/4.42	
12.82/4.42	Function declarations and definitions:
12.82/4.42	
12.82/4.42	*BasicFunctionTypename: "__VERIFIER_error" returnParam: BasicVoidType parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
12.82/4.42	*BasicFunctionTypename: "id" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
12.82/4.42		0:
12.82/4.42			%1 = alloca i32, align 4
12.82/4.42			%2 = alloca i32, align 4
12.82/4.42			store %x, %2
12.82/4.42			%3 = load %2
12.82/4.42			%4 = icmp eq %3 0
12.82/4.42			br %4, %5, %6
12.82/4.42		5:
12.82/4.42			store 0, %1
12.82/4.42			br %11
12.82/4.42		6:
12.82/4.42			%7 = load %2
12.82/4.42			%8 = sub %7 1
12.82/4.42			%9 = call i32 @id(i32 %8)
12.82/4.42			%10 = add %9 1
12.82/4.42			store %10, %1
12.82/4.42			br %11
12.82/4.42		11:
12.82/4.42			%12 = load %1
12.82/4.42			ret %12
12.82/4.42	
12.82/4.42	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
12.82/4.42		0:
12.82/4.42			%1 = alloca i32, align 4
12.82/4.42			%input = alloca i32, align 4
12.82/4.42			%result = alloca i32, align 4
12.82/4.42			store 0, %1
12.82/4.42			store 10, %input
12.82/4.42			%2 = load %input
12.82/4.42			%3 = call i32 @id(i32 %2)
12.82/4.42			store %3, %result
12.82/4.42			%4 = load %result
12.82/4.42			%5 = icmp eq %4 10
12.82/4.42			br %5, %6, %8
12.82/4.42		6:
12.82/4.42			br %7
12.82/4.42		7:
12.82/4.42			Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error()
12.82/4.42			br %8
12.82/4.42		8:
12.82/4.42			%9 = load %1
12.82/4.42			ret %9
12.82/4.42	
12.82/4.42	
12.82/4.42	Analyze Termination of all function calls matching the pattern:
12.82/4.42	main()
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(3) LLVMToTerminationGraphProof (EQUIVALENT)
12.82/4.42	Constructed symbolic execution graph for LLVM program and proved memory safety.
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(4)
12.82/4.42	Obligation:
12.82/4.42	SE Graph
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(5) SymbolicExecutionGraphToSCCProof (SOUND)
12.82/4.42	Splitted symbolic execution graph to 1 SCC.
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(6)
12.82/4.42	Obligation:
12.82/4.42	SCC
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(7) SCC2IRS (SOUND)
12.82/4.42	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
12.82/4.42	Generated rules. Obtained 12 rulesP rules:
12.82/4.42	f_153(v56, v65, v57, v58, v59, v60, v61, v62, v66, 0, 10, 3, 1, 4) -> f_154(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) :|: 1 <= v67 && v68 = 3 + v67 && 4 <= v68
12.82/4.42	f_154(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) -> f_155(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) :|: TRUE
12.82/4.42	f_155(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) -> f_156(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) :|: 0 = 0
12.82/4.42	f_156(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) -> f_158(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) :|: v56 != 0
12.82/4.42	f_158(v56, v65, v67, v57, v58, v59, v60, v61, v62, v66, v68, 0, 10, 3, 1, 4) -> f_160(v56, v65, v67, 0, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4) :|: 0 = 0
12.82/4.42	f_160(v56, v65, v67, 0, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4) -> f_162(v56, v65, v67, 0, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4) :|: TRUE
12.82/4.42	f_162(v56, v65, v67, 0, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4) -> f_164(v56, v65, v67, 0, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4) :|: 0 = 0
12.82/4.42	f_164(v56, v65, v67, 0, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4) -> f_166(v56, v65, v67, 0, v70, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4, 9) :|: 1 + v70 = v56 && 0 <= v70 && v70 <= 9
12.82/4.42	f_166(v56, v65, v67, 0, v70, v57, v58, v59, v60, v61, v62, v66, v68, 10, 3, 1, 4, 9) -> f_168(v70, v57, v58, v59, v60, v61, v62, v65, v66, v67, v68, 0, 10, v56, 3, 1, 4, 9) :|: 0 = 0
12.82/4.42	f_168(v70, v57, v58, v59, v60, v61, v62, v65, v66, v67, v68, 0, 10, v56, 3, 1, 4, 9) -> f_170(v70, v57, v58, v59, v60, v61, v62, v65, v66, v67, v68, 0, 10, v56, 3, 1, 4, 9) :|: TRUE
12.82/4.42	f_170(v70, v57, v58, v59, v60, v61, v62, v65, v66, v67, v68, 0, 10, v56, 3, 1, 4, 9) -> f_152(v70, v57, v58, v59, v60, v61, v62, 0, 10, 3, 1, 4) :|: TRUE
12.82/4.42	f_152(v56, v57, v58, v59, v60, v61, v62, 0, 10, 3, 1, 4) -> f_153(v56, v65, v57, v58, v59, v60, v61, v62, v66, 0, 10, 3, 1, 4) :|: 1 <= v65 && v66 = 3 + v65 && 4 <= v66
12.82/4.42	Combined rules. Obtained 1 rulesP rules:
12.82/4.42	f_153(1 + v70:0, v65:0, v57:0, v58:0, v59:0, v60:0, v61:0, v62:0, v66:0, 0, 10, 3, 1, 4) -> f_153(v70:0, v65:1, v57:0, v58:0, v59:0, v60:0, v61:0, v62:0, 3 + v65:1, 0, 10, 3, 1, 4) :|: v67:0 > 0 && v70:0 > -1 && v70:0 < 10 && v65:1 > 0
12.82/4.42	Filtered unneeded arguments:
12.82/4.42	   f_153(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> f_153(x1)
12.82/4.42	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
12.82/4.42	f_153(sum~cons_1~v70:0) -> f_153(v70:0) :|: v70:0 > -1 && v70:0 < 10 && sum~cons_1~v70:0 = 1 + v70:0
12.82/4.42	
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(8)
12.82/4.42	Obligation:
12.82/4.42	Rules:
12.82/4.42	f_153(sum~cons_1~v70:0) -> f_153(v70:0) :|: v70:0 > -1 && v70:0 < 10 && sum~cons_1~v70:0 = 1 + v70:0
12.82/4.42	
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(9) IntTRSCompressionProof (EQUIVALENT)
12.82/4.42	Compressed rules.
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(10)
12.82/4.42	Obligation:
12.82/4.42	Rules:
12.82/4.42	f_153(sum~cons_1~v70:0:0) -> f_153(v70:0:0) :|: v70:0:0 > -1 && v70:0:0 < 10 && sum~cons_1~v70:0:0 = 1 + v70:0:0
12.82/4.42	
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(11) PolynomialOrderProcessor (EQUIVALENT)
12.82/4.42	Found the following polynomial interpretation:
12.82/4.42	[f_153(x)] = x
12.82/4.42	
12.82/4.42	The following rules are decreasing:
12.82/4.42	f_153(sum~cons_1~v70:0:0) -> f_153(v70:0:0) :|: v70:0:0 > -1 && v70:0:0 < 10 && sum~cons_1~v70:0:0 = 1 + v70:0:0
12.82/4.42	The following rules are bounded:
12.82/4.42	f_153(sum~cons_1~v70:0:0) -> f_153(v70:0:0) :|: v70:0:0 > -1 && v70:0:0 < 10 && sum~cons_1~v70:0:0 = 1 + v70:0:0
12.82/4.42	
12.82/4.42	----------------------------------------
12.82/4.42	
12.82/4.42	(12)
12.82/4.42	YES
13.13/4.46	EOF